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MORE ON SUMS OF HILBERT SPACE FRAMES

  • Najati, A. ;
  • Abdollahpour, M.R. ;
  • Osgooei, E. ;
  • Saem, M.M.
  • Received : 2012.02.18
  • Published : 2013.11.30

Abstract

In this paper we establish some new results on sums of Hilbert space frames and Riesz bases. We also provide a correction to some recently established results in [2].

Keywords

frame;Gabor frame;frame operator

References

  1. O. Christensen, An Introduction to Frames and Riesz Bases, Birkhauser, Boston, 2003.
  2. S. Obeidat, S. Samarah, Peter G. Casazza, and J. C. Tremain, Sums of Hilbert space frames, J. Math. Anal. Appl. 351 (2009), no. 2, 579-585. https://doi.org/10.1016/j.jmaa.2008.10.040

Cited by

  1. Some Results About the Operator Perturbation of a K-Frame vol.73, pp.4, 2018, https://doi.org/10.1007/s00025-018-0902-x